11004011200 has 168 divisors, whose sum is σ = 33325665632. Its totient is φ = 3482542080.

The previous prime is 11004011189. The next prime is 11004011201. The reversal of 11004011200 is 211040011.

11004011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11004011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107812 + ... + 183388.

Almost surely, 2^11004011200 is an apocalyptic number.

11004011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11004011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16662832816).

11004011200 is an abundant number, since it is smaller than the sum of its proper divisors (22321654432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11004011200 is a wasteful number, since it uses less digits than its factorization.

11004011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75619 (or 75604 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11004011200 its reverse (211040011), we get a palindrome (11215051211).

The spelling of 11004011200 in words is "eleven billion, four million, eleven thousand, two hundred".